摘要
在本文中,通过外围空间的适当保角变形,我们证明了,每个Riemann子流形可以被认作一个极小子流形,我们还研究了这样得到的子流形的稳定性,定理2和3推广了Schoen和S.TYan[2]的结论.
In this paper,wc shall show that by a suitable conformal deformation of the ambient space, every close Ricmannian submanifold can be regarde as a minimal submanifoled. We also study the stability of so gotten minimal submanifold, our conclusion generalize of Schoen and S. T. Yau's[2]
出处
《数学研究》
CSCD
1998年第2期109-115,共7页
Journal of Mathematical Study
关键词
极小子流形
定理
证明
推广
空间
稳定性
结论
形成
Pointwise conformal deformation, Close submanifold stability of minimal submanifold, Quasi-minimal submanifold